Creating an arced image with imagemagick

StackOverflow https://stackoverflow.com/questions/21783337

Question

I am trying to use imagemagick to arc an image and have it fit into a predefined arc space. For that predefined arc I know the circumference of the top and bottom segments along with the width of the space between the two circumferences. I need to get the arc angle along with the top and bottom radius values so that I can feed those into imagemagick. Any ideas on how I can calculate those values?

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Solution

enter image description here

TopLength = (r0 + Width) * Alpha
BottomLength  = r0 * Alpha
Alpha = (TopLength - BottomLength) / Width

(angle in radians)

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